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Effect of Periodically Oscillating Driving Force on Basic Microflows in Porous Media

Volumen 9, Ausgabe 7, 2006, pp. 695-707
DOI: 10.1615/JPorMedia.v9.i7.80
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ABSTRAKT

The effect of frequency of fluctuation of the driving force on basic microflows is theoretically investigated in the presence of a porous medium. Four basic flow cases are considered in the slip flow regime: the transient Couette flow, the pulsating Poiseuille flow, the Stokes second problem flow, and the transient natural convection flow. The extended Darcy-Brinkman model is used to model the flow in a porous medium. The study is focused on the effect of frequency on the slip in velocity and jump in temperature at the wall(s). It is found that for all cases considered the increase in frequency or Knudsen number would lead, in general, to an increase in the normalized slip. However, the normalized slip increased as Darcy number decreased, except for Poiseuille flow where the normalized slip increased as Darcy number increased. In addition, the jump in temperature is found to be negligible when the frequency and Knudsen number are relatively small.

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